Question

2^x = 1/32

What is the solution of the equation?

Answer 1

The solution is x = -5.

Step-by-step explanation:

To solve the equation 2^x = 1/32, we need to find the value of x that satisfies the equation.

Step 1: Rewrite 1/32 as a power of 2.

We know that 1/32 is equal to 2^(-5), since 2^(-5)

= 1/(2^5)

= 1/32.

Step 2: Set the exponent expressions equal to each other:

2^x = 2^(-5).

Step 3: Since the bases (2) are the same, set the exponents equal to each other:

x = -5.

So the solution to the equation 2^x = 1/32 is x = -5.